Kineto-elastodynamic balancing of 4R-four bar mechanisms combining kinematic and dynamic stress considerations

Abstract When a mechanism runs at high speed and has elastic links, its links vibrate under the action of forces present on the mechanism. The acceleration field resulting from the vibration of the links develops additional interia forces called kineto-elastodynamic (KED) inertia forces. The present paper takes into account the contribution of the KED inertia forces towards the shaking force and shaking moment while balancing planar mechanisms. Combining kinematic design and dynamic stress considerations an optimal kinematic design of the mechanism satisfying the given aim and optimal cross-sectional areas of the links were determined such that the shaking force trasmitted to the foundations due to the combined effect of rigid-body inertia forces and KED inertia forces is a minimum.

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